Only 6 months in - I'd say you still have a lot to learn about each other - in terms of how he spends his time when not working, how he manages his work/life balance, what he wants to do with his job/career and in his relationship.
I know two very different guys very well - both around 30 - one has an allotment, is always cleaning up the flat he rent with his partner (they have £75k saved for a deposit and have been looking at houses for over a year - they can't find anything in their area they can afford that doesn't need another £50k spending on it and they have eased off looking as the market - they think - is likely to col down - prices are so inflated ATM), he likes to cook, is very caring and considerate towards his mum, brothers and sisters, runs, cycles, climbs, reads...
The other spends too much time immersed in on-line gaming, watching films, going to rock concerts, spends a fortune on lego
, lives off food you can heat up in the microwave, drives too fast, has to be coerced to exercise, still likes to hang out with his mates like he is 17 - this couple own a house worth £450k - mortgage will be paid off this year... he is a very smart and hard working guy doing very well internationally in his field of research.
Both genuinely are lovely guys with very good jobs/careers but they are so so different.
One from a single parent family with 4 siblings, one a somewhat spoilt/privileged only child.
One previously had a single long term girlfriend 3-4 years, the other had a handful of shortish relationships 1-2 years.
One wants to marry, the other is saying he does but seems a little shy of making the commitment... he's 31/32 and his gf is about 29 and thinking of starting a family - is it going to work out for her - I have no idea!
How do your past relationship experiences compare? Are you on the same page about work/life balance, marriage, having children, whether both of you will work or one will go part-time.. - I guess it is far to early for you to have talked about these things.
It can be very hard to buy a property ATM - why not just wait - leave things as they are for a year - see how things go with the two of you - the housing market may also change. Maybe you will reach a point where you decide to buy somewhere together with an equal financial stake - although I suspect that may not be possible if you already own/have a mortgage on a property - you have to think through how you can both protect your own interests and how you might deal with any unevenness in your finances - i.e. savings/income/job prospects & future earnings.
Maybe I'm wrong but it strikes me that you have expressed such a shallow view on his situation and are thinking after 6 months of going all in. I'd definitely hold off, give the relationship time to mature and learn more about him, his situation and how both your aims line up. Relationships are the most complicated things IMHO that you have to deal with in life but there's no harm in thinking deeply about important and complex issues even though - most of the time, IMHO, the future turns out to be different to what you thought it would be or hoped for or wanted - you learn to adapt to circumstances - well - you do if there is a commitment - me and my partner had non-ideal living situations for years before we could live together.