Yes, Bestinvest do not charge commission for buying or selling open-ended investment companies, but their annual account fee is slightly higher than other providers like AJ Bell (who do charge commssion).
Bestinvest OEIC Investing Review

Name: Bestinvest OEIC Investing
Description: Bestinvest has combined low-cost online investing and share dealing with personalised expert advice to help clients choose the right open-ended investment companies for their portfolio.
Capital at risk.
Summary
For open-ended investment company investing Bestinvest’s account fee is 0.4% up to £250k. This reduces to 0.2% after £250k.
Pros
- £1 minimum investment
- Advice from experts on demand
Cons
- Limited market range
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Pricing
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Market Access
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Online Platform
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Customer Service
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Research & Analysis