Sounds lovely a ready made garden,
The first one looks like a form of Ekianthus,
the second a variety of Tulip,
The third is a Cotoneaster horizontalis

2 looks like a species tulip
3 is a cotoneaster possibly horizontalis
and i do know 1 but its name wont come to me.

The first one looks a bit like Pieris flowers, but I'm not sure about the leaf formation. Are the young leaves tinged red?

The first picture is a variety of Pieris but the leaves look as if the plant is under stress perhaps it had become dry at the roots. The tulip is a species one and may be Tulip turkestanica. The third picture is as Seaburngirl said.

First one I think is the Pieris Japonica (Forest Flame) By look of the amount of flowers it looks good to me, might need a bit of tidying up sometimes.

The last one is a cotoneaster - I had one, but trimmed it back a lot, as it can grow in all directions pretty fast.

I had the same experience, new house, new garden, new plants, but it's fun getting to know about diff. plants. Enjoy!

I have the first 2. 1) is Pieris 'Forest Flame' lily-of-the-valley shrub 2) is The Tulipa Tarda. 3) is a Cotoneaster but not sure its a Horizontalis?
The first, the Pieris I find mine prefers some shade ericaceous compost and water well when dry.

Thanks to everyone for their responses. It helps a lot. Now I just have 30 more to identify. :( :)

We love putting our thinking caps on Ancee and 3 to a question was just right