Hi there Lucas,
Congrats on your offers from those great unis!
I personally cannot speak for what the course is like at either, but as a former Bath student I can say that I genuinely loved my time at Bath. Its one of the safest cities in the UK and also has one of the best industrial placement schemes in the country which will add its weight in gold to your graduate CV and is a great opportunity to do something fun and different for a year whilst earning some money and getting valuable career experience.
In terms of size the uni itself is similar in size to Southampton, but what Bath has that Southampton doesn't have is the historic, oldy-worldy feel of the city. Southampton, however, is a livelier city with a faster pace of life and potentially more of a nightlife scene (and also they have a coast which is nice!) - although there are loads of pubs, a few nice cocktail bars and nightclubs in Bath such as Moles, the Second Bridge and Komedia.
Something that particularly drew me to Bath (over another university) was, besides the placement scheme, the fact that is was well-known for my course (which was psychology) and that all the student ambassadors I spoke to here before getting my offer just seemed so happy. They seemed to enjoy the variety of extra curricular activities Bath offered (such as loads of different societies including LGBT+, and excellent sport opportunities). Another thing I really liked about Bath was the fact that it has a really nice, open feel with plenty of green space and a lake where lives a small community of mallard ducks who are NOT afraid of people! I had several friends during my time here who are LGBT+ and there is definitely a vibrant scene here at Bath, not just for LGBT+ people but also people of different nationalities, gender identities and cultures/faiths.
Overall I find the uni a really welcoming place to be with a lot of great opportunities both academic and non-academic 🙂
However at the end of the day its 100% your decision and its mostly about deciding A) which course you think better suits your needs, interests and aspirations, B) which uni makes you feel most at home and C) which city you feel you'd be happier living in for the next 3-4 years of your life.
I hope some of this helps you with your decision but I'm sure whichever you end up choosing you'll have a great time and make some fantastic memories with the people you meet and the opportunities you take 🙂
Holly
University of Bath