Wow, you're really getting a bang for your buck. Theres like 999999 million questions in this "question".
"how do you feel about QQ and JJ pre-flop?"
I feel that is a quality starting hand and i am willing to get QQ in against most oppenents preflop. JJ is very player dependent imo, and i will try to give some examples. Against some bully who raises utg im 3betting 90% of the time. Against a tightish player who raises utg i usually call 60% of the time. The other 40% i 3bet (However, against most decent players they will put you on the type of hand you have right away). Against a LAG player who raises on the CO and im on the button, im raising/calling 70/30. Against a player who raises on the button and im on the blinds im 3 betting 100% of the time. You should be doing this alot already with okay hands like suited connectors and Ax hands because you want him to know that you arent going to be bullied easily. If some tight player utg raises im 3-betting 75% of the time and calling 25% of the time. BTW u you should be 3 betting with trash once in a while, suited connectors once in awhile, okay face cards 50% of the time (KJ), and really good hands 80% of the time. That way, when you 3-bet they cant just say "He must have TT-AA, AK". Instead they should say,"WTF does he have this time."? A good 3-bet is usually 10bb-14bb or 3-4x the preflop raise. Lets say CO raises to 7. A good rerraise/3-bet you should be to 21-28.
Are you looking to thin the field?
Duh! With almost every single playable hand you should try to eliminate the field to 3 players max! and preferably 2 players. Im not sure what you mean by "big preflop bet", but you should be betting 3-4x bb with any hand you are raising preflop. The perfect bet imo is 3/1/2x bb and you will see most people doing this. Make this bet with trash-AA if you are thinking of raising preflop. If you are playing at decent stakes you will usually get HU when you make this bet unless you are acting like a complete donk or fish in which case everyone wants to play a pot with you. If someone in front raises you should usually 3 bet. As i said before once in a while you should 3 bet with trash. This is because you want to get paid off more when you actually have a premium hand. When you just 3 -bet really good hands people will know what you have and call with only QQ-AA, AK so basically you will get only better hands to call against observant oppenents.
You also want to 3-bet because you are building the pot with a hand that is very good and you also want to get max value off of it. Think of it as a value bet. You also take control of the pot and can keep the pot small/big depending on the community cards. You also want to price out hands like 56dd, AK etc.
"Would you rather extract value out of it or be cautious by making a small bet?"
Ummmmmmmmm....... you should almost never make small bets. Against almost all decent players you will get raised just because if you really had a good hand you would bet more because they would call a big bet almost as much as they would call a small bet. So basically, you are saying i have a okay hand-not good not bad and if you raise me im bailing out. DONT MAKE SMALL BETS UNLESS YOU HAVE A HAND WHERE YOU WANT TO GET R/R WITH!! Also, you want to stick with big bets (1/2-pot) because you are getting more value off a hand where you want more value and your bluffs are more likely to work when people dont know what kind of hand you have (a bluff, weak hand, or nuts). A lot of times though, a really bad flop will come like QxKc7c (you have jj) and you should check/call or check/fold the flop. So basically either bet 1/2-big or just check (when you flop a worthless hand, are either way behind or way ahead, the pot is getting to big with such a mediocre hand, or you want to induce bluffs from a agressive player.) Rarely will i bet all three streets after i have raised preflop3-bet because usually when people call all 3 streets you are beat. The one time i bet all 3 streets is when flop comes out 2h4hTc. Many times people will call with AT all the way, and even JT if they think you are bluffing busted draws on the river. Youn can get ALOT of value from top pair hands in these situations and you shouldnt pass it up.
"What kind of bets/raises will you call with these hands?"
Usually out of position i will fold to a turn r/r against most players if i raised preflop, and bet flop. Its really hard to give a detailed explanation to this because there are just so many situations. Maybe you could post a hand in the add. details and i will give a more detialed answer.
"How many bets/raises would it take for you to fold these hands? How do you play these hands according to position and number of callers? Would you call a re-raise with these hands?"
This is also soooo very player dependent. Im not sure if you know this, but a 3-bet is a reraise, just letiin you know. JJ against a tight player i will fold to a 4 bet, but willl always call a reraise (3-bet). Against a loose player i push. If i am in positon against a preflop raiser i am more inclined to call a 3-bet and i will do this 30% of the time. OOP (out of positon) i like to call maybe 10% of the time. This is because it is really hard to play out of positon against a preflop raiser who has control of the pot. Once again, you need to move up if you get more than 2 callers 25% of the time when you raise to 3/1/2x bb. Generally, i am more inclined to muck against action in a mutliway pot and I put less value on my overpair. I am calling a reraise (3 bet) every time UNLESS i know 100% sure that he has AA, KK. Against a loose player i am 4 betting OOP and calling a in positon.
Wow that was a long answer. Plz plz plz post additional details if you dont understand what i just typed. I also would like to say that this is in context to a 6 max CASH GAME. If you havent started playing cash games thats too ******* bad for you because thats teh only thing i know how to play! BTW did you ever attempt playing .25/.50 online?