You might want to check the policy of the facility involved. Many do not allow direct gifts to the care givers. I know this is true at Mom's facility. They can actually be fired for accepting monetary gifts. It is best to check the policy and not put them in a precarious position. Rather than individual monetary gifts I give something to the crew. For Halloween I did a pumpkin filled with Candy treats. At Thanksgiving last year I did lunch for first shift and dinner for second. It was simple but they truly appreciated it. Red Velvet cupcakes are their favorite and I do that often. I tend to do little things for "the crew" during the year... so they know I appreciate what they do. Something as simple as a huge assorted box of chocolates for them to all share goes a long way. Beyond that... I donate to the staff Christmas party fund which is fully funded by family donations and also participate when possible in staff appreciation events with gift cards and other items. To know if that is possible again check with the facility policy.
As for resident gifts... Socks! They tend to vanish and are always needed. I was thrilled when Mom got socks from a group for Christmas because I didn't have to buy more. Mom loves the busy apron that somebody made her.... and hangs on to the turtle stuffed animal with the big smile. She also uses the lap quilt. It was primary bold colors and she loves the colors. There is always a need for personal items. Hand lotion is always a plus. You have to be careful with food gifts to residents because of the diet restrictions of some. I had done Christmas cookies making sure there are some sugar free for the diabetics. Again this you can ask the staff about. Much depends on the acuity level of the residents. Most of these suggestions are for the more advanced dementia patients. One of our family members actually donated a large Christmas tree with twinkling lights the residents adored. Ask the care staff what is lacking. My care staff is always asking for body wash, lotion, and shampoo for the residents.... and socks
So figure out the need and the acuity of the residents and fit the gift to their needs.
Hope this helped...