I worked for a very large company that was sold to a PE firm, that to it public, but retained the PE management.
A key is that the company is all about the numbers, and even the numbers from quarter to quarter. The goal is to have sales (or other key measure) up, and debt down. They do not invest in longer term asset management, "nice" human resource employee friendly things. They will invest heavily in ensuring that workplace safety, harrassment, policies and procedures are in place, as future investors are highly turned off by any scent of poor accounting or work place practices that border on legal issues.
One example of the quarterly bottom line driving business -- all travel expenses and many projects were cut / denied in the last quarter of each year if the net revenue projections were looking anything less than spectacular. Arbitrary slashing of expenses (non-regulatory) to make the numbers on the final statement work. They would sell off property that had long term operational value and move into a short term lease in order to keep the numbers looking good.
If you are up for decisions to be based only on numbers, like the idea of fully supporting and driving sales and having that be a common goal for all people in the team, and achieiving results by putting in effort.... it can be a good place to be.
If you do this, you need to negotiate very clear bonus / retention or "golden handcuff" pay outs. (whatever makes sense for your job) More effort and more results from you = more money. They are smart enough to be very tight fisted and your best position to negotiate is during the job offer.
ETA -- if they have just bought a smaller company, then be prepared for a lot of job layoffs. They will want to aggressively trim staff, replace with their own people (you?) and change the way that they operate. Unless, the company is growing so rapidly they can't get rid of staff, but it is easier for PE to get new people than to change the old ones.