You can get Spring to inject your services into your Hibernate instantiated instances, using AOP. You can also get Hibernate to do the same, using Interceptors.
See http://www.jblewitt.com/blog/?p=129
Regarding “It’s annoying to get a Foo to do several somethings transactionally”, I would expect your service implementations would know/care about the transactions, and if you’re now using the service interfaces within your domain model, that should now be not quite so annoying.
I suspect that deciding when a domain model should be saved is dependent upon what it is and what you’re doing with it.
FWIW I have a tendency to produce just the same sort of anemic structures, but I’m getting there, now I know it’s possible to do it a more sensible way.