As a woman who hyphenated two very long last names...neither of which has the usual spelling...I definitely fall onto the, shall we say, liberated side of the line...although at this point, fifteen years later, I kind of wish I was liberated of one of my names...
Anyway, I hate, therefore, to admit that I do most of the cleaning. He helps, but I do most of it...I just got tired of the fact that he was willing to wade through more than I was, but if it gets too bad, I pile it up on the far side of the bed, his side, so you can't see it from the door of our room, and he has to either deal with it or crawl over it to get into bed. Works pretty well.
As far as money goes, we made a deal VERY early in our marriage, that any purchases over $100.00 would be discussed...that has increased to $250.00 as we have gotten more comfortable, but the principle is the same. Finances are shared in a marriage...and out of respect for a spouse, big purchases need to be discussed. I would insist that you have a conversation about this, and make a list together of things that you really need, and what you are saving for, etc. I am not saying he shouldn't get this bike if it really is a lifelong love, but he talks to you about it first, and you decide together.
As far as finances go, my husband and I have three checking accounts. His, mine and the joint. The paychecks get deposited into the joint, and then I distributed out our "allowances" for that pay period by transferring money into each of our "own" checking accounts (They are all joint, but we only use the ones designated for us). The main joint account then pays for bills, groceries, house payment, etc. At the end of the pay period, I leave a little buffer in that account, but anything left over goes into our savings account...and then, when that grows big enough, gets moved into our investment account or gets left in savings for the "big" things we are saving towards like the Digital Camcorder we got for Christmas.
You really need to have this conversation about what is OK, and that he needs to remember that you are now a "unit". It should happen sooner rather than later...don't let patterns set in for too many years or they will become extremely difficult to break.