Typically, if children change daycare and have a change in behavior related to daycare, it is fairly immediate - not 8 months later. It sounds like she is going through some typical "growing up" stages. If she is an intelligent young lady, this behavior can be even more pronounced. The above advice is good.
Changing day care really depends on the two "teachers" in charge. I would definitely visit the in-home one. Visit it at least twice, then go back to your current day care and visit it. Spend at least an hour at each one. Don't go at the start. Wait at least 30 min. so that a normal routine has been established. Obviously you need to do this before you go back to work. If the in-home day care still makes you feel more comfortable, and you can afford it - then go for it.
Your daughter spending a lot of her time at daycare would affect how she is acting. Children pick up a lot from others as well as adults do from co-workers. It is good to teach children to make good choices. Give her lots of choices that she can make on her own. Around the age of 4, they are wanting more independence and this can be what you are seeing also. Be careful not to be too strict in trying to control her. Children are not robots. Make sure that she has respect for people, animals, and plants. Do not let her disrespect you. Talk to her about using an indoor voice and an outdoor voice. She is 4, so she will understand a great deal.