I'm pretty sure your best option would be visiting a fertility specialist and discussing what tests need to be done first up on your partner. IUI might be an option for you. This should be cheaper and involve less assistance than IVF.

Perhaps entering into some couples counselling too that their program might offer. Especially if your partner does not seem to be really 100% about this.

I'm not sure about your part of the world, but whilst IVF is a chore, there is a very slim chance of adopting and it is an incredibly long process (over 5 years) and the expense is worlds greater from IVF. Adoption sounds equally, if not more stressful on a relationship.

I had also set limits on when I thought I should have started and finished my family, but I am older than 35 now and could happily welcome more children into my life. Even though when I was younger I thought there was no way I'd want that at 36/37. My sister just had her first child at 40. She had out the thought of children out of her mind years earlier as she had no partner and didn't want to go it alone.