So long as you have been married for 10 years, you would qualify to claim spousal benefits based on his work record. This assumes that 1/2 of his social security benefit would be more than your individual benefit - sometimes you would still be better off with your own benefit. But if he were to die, you could claim widow's benefits based on his social security, which would be 71.5-100% of his benefit depending on what age you claim it.
If you are in a community property state, you are entitled to a percentage of his pension based upon a formula (roughly years married during the years earning the pension divided by total years spent earning the pension divided by 2). I don't know what's normal in other states. For example - my ex worked for 28.5 years for his pension. I was married to him for 17.5 of those years (24 years total, but only 17.5 of those while he worked for that company). My percentage of his pension is roughly (pension amount Z x 17.5/28.5) x 0.5 = 30.7% of the total pension amount Z.
If he has moved out, you should be bale to keep your rental if the landlord deems you credit worthy on your own.
Pets he could fight you for, but will he?
Budget - girl, it's way past time to learn to keep a budget. Look at your average sending but also think about big annual or periodic expenses. Add up things like car registration, insurance payments, car repair estimates, veterinary bills, clothing expenses, etc. and divide by 12.