RBG - earlier I typed a nice reply and my STUPID lap top froze.

Lost it all. Trying again.
Yes - I do realize that the berms and raised beds are your "wish list". I am a big fan of both. a great way to add texture and visual interest to a flat yard.
A couple of suggestions for material.
Check with your city/county government. Many communities have compost facilities. In Lafayette we have yard waste pick up. It goes to the compost facility. Landscapers and arborists bring their waste to the facility and pay a fee to dump. Parish residents can pick up fully cured compost FREE! The system employed is complex and the resulting material is ready to use. I have built beds and berms with City Compost.
Contact local Arborists. Some of the larger companies will utilize chipper trucks. If you ask they will dump a load at your home FREE rather than pay to dump. If you get a load or two in the fall it will be ready to use in 9 to 12 months.
Just a thought - make soil test a #1 priority. Get to know your County Agent. My County agents are my friends.
The thought of trying to remove the "meat balls" makes me cringe. The root systems are deep and intertwined.
The first landscaping job I encountered that required the removal of foundation planting was a disaster. I priced the shrub removal figuring 6 hours X 4 strong, young men.

At the end of the day my guys were nearly prostrate from exhaustion and only 1/4 of the plants had been removed.
I made lots of phone calls and located a Mini Excavator operator. $400 to remove and haul off all of the shrubs. The first and last time I ever attempted to manually remove existing shrubs.
Azaleas do not necessarily need shade. Drive around your community. You will see Azaleas growing and flourishing in full southern sun. Hydrangeas can tolerate full sun but they suffer. They do best with morning sun.
I am so glad your plumeria survived. Mine are blooming but they are all mature. If you put them back in pots when you move, move them in over winter then give them lots of water and some Bloom Booster when you move them out in the spring you will probably have blooms next summer.
Something to consider. You are moving to a very different environment. You and/or your partner may want to enroll in the Master Gardener program. You will get a crash course in region specific horticulture, give back to your new community with your volunteer work and make lots of new friends who are as passionate about gardening as you are. You will get "first dibs" on experimental cultivars and you will have lots of friends willing to give you cuttings, divisions and starts.
Next to your Quaker Meetings MG is the next best way to immerse yourself and become part of your new home.
Since you have sooo much work to do in your yard consider getting a Landscape Contractor or Horticultural Specialist license. You can buy plants, soil, stone and any other landscaping material wholesale.
I am really thrilled for you.
BTW - before you install a gravel barrier contact me for specifics on the best "how to".