Question: Where can I find a stockbroker who won't pressure me into buying his stock picks?

Open an online trading account through any online brokerage firm.
You have the freedom to buy and sell whatever stock you like. You need to pay a commission that will range between $5 - $20 per trade depending on the brokerage firm prices.
Need to do your own researches about stocks otherwise you will have to pay fees if you ask for advice from the brokerage firm.

Examples:
Etrade
Ameritrade
ThinkorSwim
Scottrade
Zecco

Answer:

Any Discount Broker

No proper stockbroker will pressure you into buying shares. He can tell you facts and what he thinks of the stocks future. That's it.