Professional looking for a place for me and my cat

Hello! I'm a professional moving to Liverpool from Glasgow! I will be working from home 60% so need a bit more space. Also I come with my son Gatto ( he’s a fluffy old indoor 🐈‍⬛ he also loves dogs so ok with sharing with a dog but no cats ) who loves cuddles! I love running and doing fun things over the weekend! Bonus points if you’ll come to parkruns with me. I also vegetarian but open to any diet preferences. Ideally looking to get a one bed or share a 2 bed apartment. I do also have a car so will need some parking! Please don’t hesitate to reach out for potential buddy ups! Thank you