Go to your local nursery.
Do not go to a gardening center such as Home Dept and etc. A nursery clerk will be able to help you with anything and everything to do with gardening in your area.

Be sure to ask the clerk how to care for the flowers.

Nurseries have six-pack containers of flowers already growing. This would be better for you to start out with.

Do not plant seeds this first time. Wait until you know more about gardening.

Send for free catalogs to see what is on the market. Here are just two catalogs, there are hundreds more:

Happy gardening to you.

The best thing to do is go to a reputable nursery as they are familiar with the heat there!

I can suggest some and you can ask at the nursery if these are okay. Also know that plants are living things, you can’t just plant and forget about them. Some need more care than others but they all need some care.

Verbena ‘Tapien’ series-very low, heat tolerant, many colors available (Here’s a link to show you just one:)
Thymus (Creeping Thyme)-very low, don’t need too much water, small pink, purple or white flowers, many creeping kinds out there (Here’s a link to show you:)
Sedum (Stonecrop)-low, drought tolerant and you buy mainly for the foliage colors which are varied (Here is a link to show you:)
Herniaria glabra (Green Carpet)-low growing green foliage, looks like thyme but rarely flowers, leaves turn red in winter)
Corsican mint may work but double check on it (Here’s a link to show you:)
Soleirolia soleirolii (Baby Tears)-very low green foliage, small white flowers (Here is a link to show you:)

Hope this helps you out some.
EDIT: I forgot to include Geranium riversleianum Russell Pritchard & G. r. Mavis Simpson (Cranesbill)-they can take more sun than other Geraniums, these are the true perennial kind-not the window box kind (Here is a link:)
Achillea x lewisii King Edward syn. A. tomentosa King Edward (Dwarf yarrow, woolly yarrow)-doesn’t spread very much, but has pretty gray foliage and soft yellow flowers (Here’s a link:)
Phlox subulata (moss phlox)-stays low, has green foliage, has 5 petalled flowers and comes in a lot of colors (Here is a link:)
Scabiosa Pink Mist or Blue Beauty (Pincushion flower)-flowers forever, flower spikes are up to about 12″, Pink Mist has medium pink flowers and Blue Beauty has lavender blue flowers (Here is a link:)

All of the plants above are hardy perennials and not very fussy. I did keep in mind that you wanted low plants and that could handle sun and part shade.

You can also try the annual Lobularia maritima (Sweet alyssum)-it re-seeds and smells heavenly, so it kind of acts like a perennial, also available in a few colors (Here is a link:)

Happy Hunting.

Try petunias, or impatiens. New Guinae Impatients (different than the usual kind) are good too.

The list in above answer is good…

If there is enough moisture pansies would work, or other types of violets.

Many prostrate shrubs will work. Like rosemary.

Go to a good Nursery. Do you have an Armstrong’s nearby? And buy flats or 6 paks. And plant thickly.

Be sure to put in some design, not just all the same thing.

Many succulents will do well, and many of them bloom surprizingly bright. “Hen and chicks”, Or Aloes.

And there are creeping roses that stay low too.