Hi Mirjana and Sarah @miro777 , @Sarah1196 ,
Welcome both of you to Our World of Diabetes and welcome as members of TypeOneNation.
A pump will not really keep you from going low unless you begin with one of the wonderful new things that suspend insulin delivery if the algorithm senses that you are going low FAST! The pump, no matter which you may choose, most be setup and adjusted correctly - from what I see, many, many PWD and their doctors appear to NOT have correct basal rates nor bolus ratios programmed.
While in “Honeymoon”, a pump may be more difficult to use effectively because of fluctuations in extreme - as Mirjana points out her insulin at times is zero. My thought, right now be cautious with insulin and check BGL frequently - keep a log of BG, foods, carbs, activity and of course insulin and its type. Know your body and observe how both rapid-acting and basal insulins work in you.
Best wishes to both of you!