Best Voting Methods for Board Game Vacation?

Jan

Hi everyone, I'm planning a board game vacation with four of my friends, it's basically going to be a week of heavy board gaming.
We all have large game collections at home, and we now want to decide what to bring, and then what to play. So I thought, why not use an established voting method for both?
So here's what I'm looking for:

a method for us to choose which games to bring. We will compile a huge list of games for everyone to vote on beforehand, and in the end I'd like everyone to bring the same number of games (say ten per person) that we selected by voting. So that's a "multiple winners" situation, although with the restriction that everyone should supply the same number of games (this maybe translates to "party seats" in traditional voting methods somehow?)
when the five of us are together, I'd like to have a second voting mechanism to select the game we should play next, so that would be a "one winner" situation.
I'd be happy to hear your suggestions about which voting mechanisms you'd consider suitable and why

PS: I somehow could only post in this obscure subforum -- maybe an admin could move it to "Voting Methods" for me?