Hello @gray,
Welcome to the forum! I’m Bry, one of the moderators here and an Eclectic Witch- it’s a pleasure to meet you 
From one space-limited practitioner to another, I just want to say that this is perfectly fine- it’s not required to have an altar to practice magick!
You can cast spells, pray, honor the seasons, give offerings, or do rituals without a permanent altar. If you really feel called to have an altar, temporary ones work just as well and can be removed or pack up post-spellwork. I also love Tracy’s suggestion of using the virtual altar- it’s a great resource! There’s also the Inner Temple you could utilize, if that’s something that interests you.
Honestly, the most important part of spellwork is your intention- being comfortable so you can get into the right mindset and focus on your spellwork is much more important than following a set of rules or using a particular space or setup. This is your practice- make it your own, and make it work for you! 
We just adopted a Russian blue kitty from a shelter- or, well, we think he’s a Russian blue, someone found him in an attic and brought him to the shelter, so we’re going by looks haha.
(He’s too speedy for pictures right now- way too much energy 
)
I hope you can find a lovely kitty to give a forever home too- good luck with the adoption process if you decide it’s the right time for you! 
Wishing you all the best- blessed be 