Hello SiW - welcome to The Forum
Jacksparrow has asked all the correct questions, and your 2 posts are very informative indeed.
I think all that is possible is to tell you our personal favourites for the birds and a couple of comments.
Comments: sadly, it is becoming increasingly rare to spot any kind of finch other than a sparrow in perhaps the past 5 years (certainly in my case). I used to get greenfinches and goldfinches regularly but not now. Tricho has seen to that
Have you newly moved to your present location ? I ask because you seem to be quite familiar with birds' names so maybe you're not a beginner ?
Everyone will say that time is your best ally. Keep feeding and eventually they will come, particularly now in the run-up to the breeding season.
My best food for them, all year round, is Insect Suet Pellets - all of them will eat those. Also, Mixed Garden Bird Seed and Sunflower Hearts.
Oh yes, and their current passion is for Gouda cheese
. Strange but true