So recently I won two tickets that for my current bankroll looks like 1k to me ($11 and $55) and I wonder what you type of tournament (bounty, freezeout, turbo, slow) or variant would you play if you had won a big ticket like that and you have any tips for these situations
Depends on what type of game you are most comfortable playing.
For myself I would rather get into a "freezout" if I had the choice. Usually when I play a rebuy or re-entry tourney I like to have at least 2 if not 3 bullets to buy back in with if needed.
Also for me while I like playing bounty games I do not do well in them, quite a few times I have gotten to the money with no KOs under my belt, so a bounty game would not be my first choice. But if your situation is different I agree with the comment above stating it gives you the opportunity to win some $$$ without getting to ITM in the tourney itself.
One thing I would suggest is watching some games at this level to try to get a feel for how the players typically play.
Regardless of what you choose have fun and best of luck!