Most of this you can get from trawling the forums but here's a summary;
You absolutely should include a grinder in your purchase.
as your budget is limited you will be looking at 2nd had rancilio syvlia + rocky grinders ( or similar eg Lelit combi ) OR something like a Sunbeam/Breville machine combo grinder
You can get good results from the Sunbeam/Breville product. However being complex appliances they do give trouble over time and ultimately become un-repairable and on the footpath.
If you plan to go further with the journey, go with a Sylvia etc. Or if you are satisfied with the occasional good coffee go with the Sunbeam/Breville option.
FWIW I dare say 95% of the senior member on this forum have a Breville food processor and Sunbeam toaster but no coffee machines.
Keep us posted....