Sorry to say it's hard work to get good results.
If you have good quality paintwork then use a deglossing spray and Allcoat on top. You might need to run a soft pad 120grit over it as well.
For me it's 4 coats of paint on woodwork, minimum.
Don't have good paintwork to start. It is all yellowed and painted badly in the past with no prep. There are drip, chipped areas and looks terrible.
The issue is not to generate dust, with cats and not wanting to clean.
A photograph would help to get an idea but it sounds like it should be sanded/filled/primed/undercoated and 2 top coats which is a lot of work but all pretty normal for decorators.
@lynx started
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Sorry to say it's hard work to get good results.
If you have good quality paintwork then use a deglossing spray and Allcoat on top. You might need to run a soft pad 120grit over it as well.
For me it's 4 coats of paint on woodwork, minimum.